Solving fractional partial differential equations with corrected Fourier series method

The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...

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Main Authors: Zainal, Nor Hafizah, Kilicman, Adem
格式: Article
語言:English
出版: Hindawi Publishing Corporation 2014
在線閱讀:http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf
http://psasir.upm.edu.my/id/eprint/35414/
http://www.hindawi.com/journals/aaa/2014/958931/abs/
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總結:The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions.